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den301095 [7]
4 years ago
5

How do i solve (x+3)^1/2=(3x+7)^1/4

Mathematics
1 answer:
deff fn [24]4 years ago
6 0
Step 1: Cross-multiply.
(x+3)^1/2=(3x+7)^1/4
Step 2: Subtract 6x from both sides.
4x+12−6x=6x+14−6x
−2x+12=14
Step 3: Subtract 12 from both sides.
−2x+12−12=14−12
−2x=2
Step 4: Divide both sides by -2.
−2x/−2=2/−2

Answer:
x=−1
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12 +3/2s - 1/2 - 3/4s = 5/4s<br><br> How to solve for s?
rodikova [14]

s=1/23

given equation in term of s is 12+3/2s-1/2-3/4s=5/4s

to solve this first we need to take LCM on left hand side and right hand side                                                                                                                                      we can rewrite given equation as 12/1+3/2s-1/2-3/4s=5/4s                                                    now taking LCM of {1,2s,2,4s,4s} is 4s                                                                                  then the equation becomes                                                                                                              48s/4s+6/4s-2s/4s-3/4s=5/4s

(48s+6-2s-3) /4s=5/4s                                                                                                                      now cancel out denominator of both side                                                                                   we get     48s+6-2s-3=5                                                                                                                      this implies 46s+3=5

                 46s=2

                     s=1/23

Hence the value of s is 1/23

learn more about LCM here brainly.com/question/8463488

#SPJ9

3 0
2 years ago
Roger started a savings account with $56 and added $24 to the account each month. He did this for 6 months. What is the range fo
forsale [732]

Answer:

y=  24x + 56

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please answer
Allushta [10]

ANSWER

The correct answer is C.

EXPLANATION

The given polynomial has equation

p(b) =  {b}^{3}  + 3 {b}^{2}  - b + 12

According to the Remainnder Theorem, if (b+4) is a factor of p(b) = b³+3b²-b+12 then

p( - 4) = 0

We now substitute b=-4 to check.

p( - 4) =  {( - 4)}^{3}  + 3 {( - 4)}^{2} - ( - 4) + 12

p( - 4) =   - 64+ 48  + 4 + 12

Simplify:

p( - 4) =  - 16 + 16 = 0

Since p(-4) is zero, (b+4) is a factor of p(b) = b³+3b²-b+12.

The correct choice is C.

5 0
3 years ago
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
hoa [83]

Answer:

nope

Step-by-step explanation:

.42*78 is 32.76, not 45

6 0
3 years ago
The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the lenght c of the pool table? Writ
Oksana_A [137]
If the perimeter is 30
and the length is twice the width
c=length
w=width
2c=w
a pool table has 4 sides, the two adjacent sides will be equal so we only need to account for 1 of the widths and 1 of the lengths
meaning we only need to use half of the perimeter, or 15
if the length is twice as long as the width
the length would be 10
the width would be 5
there are two widths and 2 heights so the perimeter would correctly add up to 30 feet, proving you have the right answer 
3 0
3 years ago
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